Three non-zero, non-parallel coplanar vectors are always
A
Linearly dependent
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B
Linearly independent
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C
Either A or B
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D
Cannot be determined
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Solution
The correct option is C Linearly dependent Let →a,→b,→c be three non-zero, non-parallel coplanar vectors. ⟹→a=λ→b+μ→c ............. (Property of coplanarity)
⟹ vector →a depends on vectors →b and →c
Thus, they are Linearly dependent.
Hence, the three vectors are coplanar if they are linearly dependent.